Analytic geometry - practice problems
Analytic geometry, also known as coordinate geometry, is a branch of mathematics that deals with the study of geometric shapes using the techniques of calculus and algebra. It uses a coordinate system to represent geometric shapes and equations, allowing for the use of algebraic methods to solve geometric problems. It is also used to model physical phenomena, such as the motion of objects in space.Number of problems found: 248
- Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC? - The endpoints
The endpoints of a segment are (-6,1) and (10,11). What are the coordinates of its midpoint? - Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - X intercept
Given: 3y+2x=-6 Calculate the X-intercept.
- Line equation:
Line equation: y-3=8/9(x-5) Solve for slope - Three 237
Three vertices of a rectangle have the coordinates (5, 3), (5, -1), (-1, -1). What are the coordinates of the fourth vertex of the rectangle? - A triangle 10
A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)? - Y-intercept 2
What is the y-intercept of 4x + 8y =16? Write coordinates of x0, y0 of that y-intercept. - Slope of the line
What is the slope of the line passing through two points (-3,5) and (2, -1)
- A boy 5
A boy starts at A and walks 3km east to B. He then walks 4km north to C. Find the bearing of C from A. - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 ) - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - Point 9
Point A has coordinates (3, 3). Point A moves 5 units to the left and 4 units down to a new point B. (a) Write down the coordinates of point B. (b) Which quadrant is point B in? - Line in normal form
Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2)
- Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)? - The slope 2
What is the slope of the line that passes through the points (-4, -7) and (-2,-19)? Write your answer in the simplest form. - Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa - Sarah 4
Sarah and Jamal were learning partners in math class and were working independently. They each started at the point (−2, 5) and moved 3 units vertically in the plane. Each student arrived at a different endpoint. How is this possible? Explain and list the - The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.
See also more information on Wikipedia.